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Finding the Fourth Proportional to 138,827.82, 208,241.72 and 33,646.79

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Solution

The fourth proportional to 138,827.82, 208,241.72 and 33,646.79 is: 50,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,827.82 : 208,241.72 = 33,646.79 : x
  2. Step 2: Convert to fraction form
    138,827.82/208,241.72 = 33,646.79/x
  3. Step 3: Cross multiply
    138,827.82x = 208,241.72 × 33,646.79
  4. Step 4: Simplify right side
    138,827.82x = 7,006,664,380.87
  5. Step 5: Solve for x
    x = 7,006,664,380.87/138,827.82
  6. Step 6: Final answer
    x = 50,470.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.